330222420 has 336 divisors, whose sum is σ = 1189883520. Its totient is φ = 76204800.

The previous prime is 330222419. The next prime is 330222461. The reversal of 330222420 is 24222033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330222393 and 330222402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4650985 + ... + 4651055.

It is an arithmetic number, because the mean of its divisors is an integer number (3541320).

Almost surely, 2^330222420 is an apocalyptic number.

330222420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594941760).

330222420 is an abundant number, since it is smaller than the sum of its proper divisors (859661100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330222420 is a wasteful number, since it uses less digits than its factorization.

330222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 330222420 is about 18172.0230024067. The cubic root of 330222420 is about 691.1975423090.

Adding to 330222420 its reverse (24222033), we get a palindrome (354444453).

The spelling of 330222420 in words is "three hundred thirty million, two hundred twenty-two thousand, four hundred twenty".